Scroll:Life mathematics >> profit and loss >> saq (4270)

Written Instructions:

For each Multiple Choice Question (MCQ), four options are given. One of them is the correct answer. Make your choice (1,2,3 or 4). Write your answers in the brackets provided..

For each Short Answer Question(SAQ) and Long Answer Question(LAQ), write your answers in the blanks provided.

Leave your answers in the simplest form or correct to two decimal places.


 

1)  

 At what rate per annum will 388 amount to 732 in 2 years , when interest is being compounted annually

%


Answer:_______________




2)  

 At what rate per annum will 418 amount to 765 in 2 years , when interest is being compounted annually

%


Answer:_______________




3)  

 At what rate per annum will 304 amount to 756 in 2 years , when interest is being compounted annually

%


Answer:_______________




4)  

 At what rate per annum will 237 amount to 689 in 2 years , when interest is being compounted annually

%


Answer:_______________




5)  

 At what rate per annum will 405 amount to 650 in 2 years , when interest is being compounted annually

%


Answer:_______________




6)  

 At what rate per annum will 283 amount to 662 in 2 years , when interest is being compounted annually

%


Answer:_______________




7)  

 At what rate per annum will 372 amount to 772 in 2 years , when interest is being compounted annually

%


Answer:_______________




8)  

 At what rate per annum will 206 amount to 747 in 2 years , when interest is being compounted annually

%


Answer:_______________




9)  

 At what rate per annum will 337 amount to 754 in 2 years , when interest is being compounted annually

%


Answer:_______________




10)  

 At what rate per annum will 396 amount to 676 in 2 years , when interest is being compounted annually

%


Answer:_______________




 

1)  

 At what rate per annum will 388 amount to 732 in 2 years , when interest is being compounted annually

Answer: 89 %


SOLUTION 1 :

Given :

  Given  

        P   =   388

        A   =   732

        n   =   2 years

        r    =  

       A   =   P[1+(r÷100)]n

   732   =   388[1+(r÷100)]2    

732÷ 388 =  [1+(r÷100)]2  

1.88659793814                = [1+(r÷100)]2

(1.88659793814)½ = 1+(r÷100)

1.88659793814            =   1+(r÷100)

(1.88659793814)-1        =    r÷100

0.886597938144 x 100  = r

89 %     =  r

 



2)  

 At what rate per annum will 418 amount to 765 in 2 years , when interest is being compounted annually

Answer: 83 %


SOLUTION 1 :

Given :

  Given  

        P   =   418

        A   =   765

        n   =   2 years

        r    =  

       A   =   P[1+(r÷100)]n

   765   =   418[1+(r÷100)]2    

765÷ 418 =  [1+(r÷100)]2  

1.83014354067                = [1+(r÷100)]2

(1.83014354067)½ = 1+(r÷100)

1.83014354067            =   1+(r÷100)

(1.83014354067)-1        =    r÷100

0.83014354067 x 100  = r

83 %     =  r

 



3)  

 At what rate per annum will 304 amount to 756 in 2 years , when interest is being compounted annually

Answer: 149 %


SOLUTION 1 :

Given :

  Given  

        P   =   304

        A   =   756

        n   =   2 years

        r    =  

       A   =   P[1+(r÷100)]n

   756   =   304[1+(r÷100)]2    

756÷ 304 =  [1+(r÷100)]2  

2.48684210526                = [1+(r÷100)]2

(2.48684210526)½ = 1+(r÷100)

2.48684210526            =   1+(r÷100)

(2.48684210526)-1        =    r÷100

1.48684210526 x 100  = r

149 %     =  r

 



4)  

 At what rate per annum will 237 amount to 689 in 2 years , when interest is being compounted annually

Answer: 191 %


SOLUTION 1 :

Given :

  Given  

        P   =   237

        A   =   689

        n   =   2 years

        r    =  

       A   =   P[1+(r÷100)]n

   689   =   237[1+(r÷100)]2    

689÷ 237 =  [1+(r÷100)]2  

2.90717299578                = [1+(r÷100)]2

(2.90717299578)½ = 1+(r÷100)

2.90717299578            =   1+(r÷100)

(2.90717299578)-1        =    r÷100

1.90717299578 x 100  = r

191 %     =  r

 



5)  

 At what rate per annum will 405 amount to 650 in 2 years , when interest is being compounted annually

Answer: 60 %


SOLUTION 1 :

Given :

  Given  

        P   =   405

        A   =   650

        n   =   2 years

        r    =  

       A   =   P[1+(r÷100)]n

   650   =   405[1+(r÷100)]2    

650÷ 405 =  [1+(r÷100)]2  

1.6049382716                = [1+(r÷100)]2

(1.6049382716)½ = 1+(r÷100)

1.6049382716            =   1+(r÷100)

(1.6049382716)-1        =    r÷100

0.604938271605 x 100  = r

60 %     =  r

 



6)  

 At what rate per annum will 283 amount to 662 in 2 years , when interest is being compounted annually

Answer: 134 %


SOLUTION 1 :

Given :

  Given  

        P   =   283

        A   =   662

        n   =   2 years

        r    =  

       A   =   P[1+(r÷100)]n

   662   =   283[1+(r÷100)]2    

662÷ 283 =  [1+(r÷100)]2  

2.33922261484                = [1+(r÷100)]2

(2.33922261484)½ = 1+(r÷100)

2.33922261484            =   1+(r÷100)

(2.33922261484)-1        =    r÷100

1.33922261484 x 100  = r

134 %     =  r

 



7)  

 At what rate per annum will 372 amount to 772 in 2 years , when interest is being compounted annually

Answer: 108 %


SOLUTION 1 :

Given :

  Given  

        P   =   372

        A   =   772

        n   =   2 years

        r    =  

       A   =   P[1+(r÷100)]n

   772   =   372[1+(r÷100)]2    

772÷ 372 =  [1+(r÷100)]2  

2.0752688172                = [1+(r÷100)]2

(2.0752688172)½ = 1+(r÷100)

2.0752688172            =   1+(r÷100)

(2.0752688172)-1        =    r÷100

1.0752688172 x 100  = r

108 %     =  r

 



8)  

 At what rate per annum will 206 amount to 747 in 2 years , when interest is being compounted annually

Answer: 263 %


SOLUTION 1 :

Given :

  Given  

        P   =   206

        A   =   747

        n   =   2 years

        r    =  

       A   =   P[1+(r÷100)]n

   747   =   206[1+(r÷100)]2    

747÷ 206 =  [1+(r÷100)]2  

3.62621359223                = [1+(r÷100)]2

(3.62621359223)½ = 1+(r÷100)

3.62621359223            =   1+(r÷100)

(3.62621359223)-1        =    r÷100

2.62621359223 x 100  = r

263 %     =  r

 



9)  

 At what rate per annum will 337 amount to 754 in 2 years , when interest is being compounted annually

Answer: 124 %


SOLUTION 1 :

Given :

  Given  

        P   =   337

        A   =   754

        n   =   2 years

        r    =  

       A   =   P[1+(r÷100)]n

   754   =   337[1+(r÷100)]2    

754÷ 337 =  [1+(r÷100)]2  

2.23738872404                = [1+(r÷100)]2

(2.23738872404)½ = 1+(r÷100)

2.23738872404            =   1+(r÷100)

(2.23738872404)-1        =    r÷100

1.23738872404 x 100  = r

124 %     =  r

 



10)  

 At what rate per annum will 396 amount to 676 in 2 years , when interest is being compounted annually

Answer: 71 %


SOLUTION 1 :

Given :

  Given  

        P   =   396

        A   =   676

        n   =   2 years

        r    =  

       A   =   P[1+(r÷100)]n

   676   =   396[1+(r÷100)]2    

676÷ 396 =  [1+(r÷100)]2  

1.70707070707                = [1+(r÷100)]2

(1.70707070707)½ = 1+(r÷100)

1.70707070707            =   1+(r÷100)

(1.70707070707)-1        =    r÷100

0.707070707071 x 100  = r

71 %     =  r